Keywords: دوگانگی نمایشی; Piecewise smooth dynamical system; Nondegenerate connecting orbit; Melnikov condition; Exponential dichotomy;
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Keywords: دوگانگی نمایشی; Transverse load distribution; Hollow-core slabs; Precast elements; RC joints; Exponential dichotomy; Design charts
Keywords: دوگانگی نمایشی; Multidirectional associative memory neural networks; Almost periodic solution; Multistability; Exponential dichotomy
Keywords: دوگانگی نمایشی; Evolution equations; Periodic solutions; Conditional stability; Exponential dichotomy
Keywords: دوگانگی نمایشی; 70F07; 34D09; 70H05The restricted problem; Exponential dichotomy; Binary collisions regularized. 80: geometric theory of differential equations
Keywords: دوگانگی نمایشی; Differential iterative equation; Pseudo almost periodic solution; Contraction mapping principle; Exponential dichotomy
Keywords: دوگانگی نمایشی; Multidirectional associative memory neural networks; Almost periodic solution; Global exponential stability; Exponential dichotomy; Spectral radius;
Keywords: دوگانگی نمایشی; Exponential dichotomy; Triangular system; Spectrum
Keywords: دوگانگی نمایشی; Traveling wave; Stability; Spatial dynamics; Laplace transform; Exponential dichotomy
Keywords: دوگانگی نمایشی; Impulsive system; Exponential dichotomy; Solution
Keywords: دوگانگی نمایشی; 34D09; 34C11Nonuniformity; Exponential dichotomy; Bounded growth; Admissibility; Continuous norms
Optimal filtering for a class of linear Itô stochastic systems: The dichotomic case
Keywords: دوگانگی نمایشی; H2 filtering; Stochastic systems; Exponential dichotomy;
Uniformly rd -piecewise almost periodic functions with applications to the analysis of impulsive ΔΔ-dynamic system on time scales
Keywords: دوگانگی نمایشی; Time scales; Uniformly rd-piecewise almost periodic functions; Exponential dichotomy; Impulsive dynamic systems; Almost periodic solutions
Almost automorphic solutions of non-autonomous difference equations
Keywords: دوگانگی نمایشی; Almost automorphic functions; Non-autonomous equations; Exponential dichotomy
Diagonalizability of nonautonomous linear systems with bounded continuous coefficients
Keywords: دوگانگی نمایشی; Linear ordinary differential equations; Riccati’s equations; Exponential dichotomy; αα-integral separation; Admissibility
Almost automorphic solutions of dynamic equations on time scales
Keywords: دوگانگی نمایشی; Time scales; Almost automorphic; Nonautonomous dynamic equations; Exponential dichotomy
Stepanov-like pseudo almost periodic mild solutions to nonautonomous neutral partial evolution equations
Keywords: دوگانگی نمایشی; 42A75; 42A85; 44A35Almost periodic; Pseudo almost periodic; Stepanov-like pseudo almost periodic; Nonautonomous neutral partial evolution equations; Exponential dichotomy
Almost automorphic solutions to some damped second-order differential equations
Keywords: دوگانگی نمایشی; Schauder fixed point theorem; Exponential dichotomy; Almost automorphic; Second-order differential equation
Existence of quasibounded solutions for the higher order dynamic equations on measure chains
Keywords: دوگانگی نمایشی; Solutions; Time scales; Measure chains; Exponential dichotomy
Weighted pseudo almost periodic solutions of neutral functional differential equations
Keywords: دوگانگی نمایشی; Weighted pseudo almost periodic solution; Exponential dichotomy; Krasnoselskii’s fixed point theorem; Neutral functional differential equation
Cauchy matrix for linear almost periodic systems and some consequences
Keywords: دوگانگی نمایشی; Almost periodic functions; Linear systems; Riccati equations; Exponential dichotomy; Integral separation; Diagonalizability
Existence of weighted pseudo-almost periodic solutions to some classes of nonautonomous partial evolution equations
Keywords: دوگانگی نمایشی; 34G20; 34B05; 42A75; 47D06; 35L90Evolution family; Exponential dichotomy; Acquistapace and Terreni conditions; Almost periodic; Weighted pseudo-almost periodic; Evolution equation; Nonautonomous equation
Almost periodic solutions of neutral functional differential equations
Keywords: دوگانگی نمایشی; Almost periodic solution; Exponential dichotomy; Krasnoselskii’s fixed point theorem; Neutral functional differential equation
Necessary and sufficient criteria for the existence of exponential dichotomy on time scales
Keywords: دوگانگی نمایشی; Exponential dichotomy; Dynamic equations; Time scales; Roughness; Necessary and sufficient criteria
Pseudo almost periodic solutions for equation with piecewise constant argument
Keywords: دوگانگی نمایشی; Contraction mapping; Exponential dichotomy; Pseudo almost periodic sequence; Pseudo almost periodic solution; Relatively dense; Relatively compact set; Fundamental solution; Piecewise constant argument
Existence and roughness of exponential dichotomies of linear dynamic equations on time scales
Keywords: دوگانگی نمایشی; Dynamic equations; Time scales; Exponential dichotomy; Roughness; Periodic solution
(Lp(R+,X),Lq(R+,X))-admissibility and exponential dichotomies of cocycles
Keywords: دوگانگی نمایشی; 34D05; 47D06; 93D20; (Nonlinear) (semi)flows; Exponentially bounded; strongly continuous cocycles (over (semi)flows); Exponential dichotomy;
The Lyapunov operator equation for the exponential dichotomy of one-parameter semigroups
Keywords: دوگانگی نمایشی; One-parameter semigroup; Exponential dichotomy; Lyapunov operator equation
Almost automorphic solutions of nonautonomous evolution equations
Keywords: دوگانگی نمایشی; 43A60; 34C27Almost automorphic; Nonautonomous evolution equations; Evolution family; Exponential dichotomy
Exponential dichotomy and admissibility of linearized skew-product semiflows defined on a compact positively invariant subset of semiflows
Keywords: دوگانگی نمایشی; Eventually strongly monotone; Skew-product semiflows; Exponential dichotomy; Admissible
Stepanov-like pseudo-almost periodic mild solutions to perturbed nonautonomous evolution equations with infinite delay
Keywords: دوگانگی نمایشی; 42A75; 42A85; 44A35Pseudo-almost periodic; Stepanov-like pseudo-almost periodic; Infinite delay; Perturbed nonautonomous evolution equations; Exponential dichotomy
Almost periodic solutions to some semilinear non-autonomous thermoelastic plate equations
Keywords: دوگانگی نمایشی; Almost periodic function; Interpolation spaces; Exponential dichotomy; Thermoelastic plate equations
Transversal homoclinic orbits and chaos for partial functional differential equations
Keywords: دوگانگی نمایشی; Homoclinic bifurcation; Chaotic motion; Lyapunov–Schmidt method; Exponential dichotomy
Stepanov-like pseudo almost automorphic mild solutions to nonautonomous evolution equations
Keywords: دوگانگی نمایشی; 43A60; 34G20Pseudo almost automorphic; Stepanov-like pseudo almost automorphic; Infinite delay; Nonautonomous evolution equations; Exponential dichotomy
Exponential dichotomy and pseudo-almost automorphy for partial neutral functional differential equations
Keywords: دوگانگی نمایشی; 34C27; 34K14; 35R10Partial neutral functional differential equations; Hille–Yosida condition; Integral solution; Pseudo-almost automorphic solution; Exponential dichotomy
Existence and global attractivity of almost periodic solution for DCNNs with time-varying coefficients
Keywords: دوگانگی نمایشی; Delayed cellular neural networks; Almost periodic solution; Global attractivity; Fixed point theory; Exponential dichotomy
Existence and global attractivity of almost periodic solutions for neural field with time delay
Keywords: دوگانگی نمایشی; Existence; Global attractivity; Almost periodic solutions; Neural field; Exponential dichotomy; Banach fixed point theory;
The problem of a lazy tester, or exponential dichotomy for impulsive differential equations revisited
Keywords: دوگانگی نمایشی; Impulsive perturbation; Differential equations in a Banach space; Exponential dichotomy; Delay equations;
Massera-type theorem for the existence of C(n)C(n)-almost-periodic solutions for partial functional differential equations with infinite delay
Keywords: دوگانگی نمایشی; 34C27; 34K14; 35R10Hille–Yosida condition; Infinite delay; C0C0-semigroup; Integral solution; Fading memory space; Reduction principle; C(n)C(n)-almost-periodic solution; Exponential dichotomy
Pseudo-almost periodicity of some nonautonomous evolution equations with delay
Keywords: دوگانگی نمایشی; Pseudo-almost periodic; Almost periodic; Evolution family; Exponential dichotomy
Existence and exponential stability of almost periodic solution for BAM neural networks with variable coefficients and delays
Keywords: دوگانگی نمایشی; BAM neural networks; Almost periodic solution; Globally exponential stability; Exponential dichotomy; Fixed point theory;
Almost periodic attractor of delayed neural networks with variable coefficients
Keywords: دوگانگی نمایشی; Neural networks; Variable coefficients; Time-varying delay; Exponential dichotomy; Lyapunov function; Almost periodic attractor; Halanay inequality;
On exponential dichotomy, Bohl-Perron type theorems and stability of difference equations
Keywords: دوگانگی نمایشی; Difference equations; Exponential dichotomy; Exponential stability; Explicit stability conditions;
Digitization of nonautonomous control systems
Keywords: دوگانگی نمایشی; 37B55; 93B05; 93D15; 94A99; Local controllability; Feedback control; Digitization; Exponential dichotomy;
Complete guiding sets for a class of almost-periodic differential equations
Keywords: دوگانگی نمایشی; Bounded solutions; Guiding functions; Exponential dichotomy;
Fredholm differential operators with unbounded coefficients
Keywords: دوگانگی نمایشی; 47D06; 35P05; 35F10; 58J20 (primary); 58E99; 47A53 (secondary); Exponential dichotomy; Fredholm operators; Fredholm index; Differential and difference operators; Evolution semigroups; Pairs of subspaces; Travelling waves; Spectral flow;